| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.86 |
| Score | 0% | 57% |
Solve for a:
3a - 5 < \( \frac{a}{-1} \)
| a < -\(\frac{20}{39}\) | |
| a < -\(\frac{5}{7}\) | |
| a < 1\(\frac{1}{4}\) | |
| a < \(\frac{9}{16}\) |
To solve this equation, repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the < sign and the answer on the other.
3a - 5 < \( \frac{a}{-1} \)
-1 x (3a - 5) < a
(-1 x 3a) + (-1 x -5) < a
-3a + 5 < a
-3a + 5 - a < 0
-3a - a < -5
-4a < -5
a < \( \frac{-5}{-4} \)
a < 1\(\frac{1}{4}\)
A trapezoid is a quadrilateral with one set of __________ sides.
right angle |
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equal angle |
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equal length |
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parallel |
A trapezoid is a quadrilateral with one set of parallel sides.
Solve for b:
b2 - 45 = 3b - 5
| 7 or 7 | |
| -7 or -7 | |
| 2 or -2 | |
| -5 or 8 |
The first step to solve a quadratic expression that's not set to zero is to solve the equation so that it is set to zero:
b2 - 45 = 3b - 5
b2 - 45 + 5 = 3b
b2 - 3b - 40 = 0
b2 - 3b - 40 = 0
Next, factor the quadratic equation:
b2 - 3b - 40 = 0
(b + 5)(b - 8) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (b + 5) or (b - 8) must equal zero:
If (b + 5) = 0, b must equal -5
If (b - 8) = 0, b must equal 8
So the solution is that b = -5 or 8
Order the following types of angle from least number of degrees to most number of degrees.
right, acute, obtuse |
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acute, right, obtuse |
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acute, obtuse, right |
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right, obtuse, acute |
An acute angle measures less than 90°, a right angle measures 90°, and an obtuse angle measures more than 90°.
Which of the following statements about a parallelogram is not true?
the area of a parallelogram is base x height |
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the perimeter of a parallelogram is the sum of the lengths of all sides |
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a parallelogram is a quadrilateral |
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opposite sides and adjacent angles are equal |
A parallelogram is a quadrilateral with two sets of parallel sides. Opposite sides (a = c, b = d) and angles (red = red, blue = blue) are equal. The area of a parallelogram is base x height and the perimeter is the sum of the lengths of all sides (a + b + c + d).